MAT 131 Syllabus - Fall 2006

MAT 131 Syllabus - Fall 2006

Be aware that some important dates appear on the university's Fall 2006 academic calendar.

This schedule was last modified on September 1st, 2006. Please check regularly for updates.
Legend:
red colored homework represents the problems which will be graded.
black colored homework represents the problems which will not be collected. You should make sure that you can do these problems as well.

MAT 131 Main Page MAT 131 Exams

Week of Sections covered Homework exercises

Sep 6 - Sep 8 Introduction
1.1: Four ways to represent a function
1.2: Mathematical models
Appendix C: Trigonometry
1.3: New functions from old functions HW 1

1.1: 2,5,6,7,8,19, 24,42,54
1.2: 3,4,10
App.C: 1,4,15,30, 37

Sep 13, Wednesday, 8:30 - 10:00 pm: Early Exam

Sep 11 - Sep 15 1.5: Exponential functions
1.6: Inverse functions and logarithms
2.1: The tangent and velocity problems
HW 2

1.3: 3,4ad,6,7,11,13, 14,38, 39, 47, 63
1.5: 9,10, 15ab, 18, 19
1.6: 5,6,12, 17, 20, 26, 34ab, 37, 47ab, 52b, 53.

Sep 18 - Sep 22 2.2: The limit of a function
2.3: Calculating limits using the limit laws
2.4: Continuity HW 3

2.1:3,5a
2.2:3,4, 6,8,9, 10, 23a
2.3: 1bcde,2abcd,4, 10, 11, 12, 15, 20,28,43

Sep 25 - Sep 29 2.5: Limits involving infinity
2.6: Tangents, velocities, and other rates of change HW 4

2.4: 3,4,6,13,14,16,25,26, 30,32,37,48
2.5: 2,4,5,6,7,8,15,18,20, 21,24,25,27,28,46,48a
2.6: 7,8,9,13,20,24

October 2nd, Monday, No Class, Yom Kippur

Oct 2 - Oct 6 2.7: Derivatives
2.8: The derivative as a function
2.9: What does f' say about f? HW 5

2.7: 3,5,8,13,15,17,19,20,22,35,36
2.8: 3,4,6,21,22,24,32,34

Midterm I, Wednesday, October 11 at 8:30pm

Oct 9- Oct 13 3.1: Derivatives of polynomials and exponentials
3.2: The product and quotient rules HW 6

2.9: 1,2,4,16,20,21.
3.1: 1a,4,6,8,10,12,14,16,18,20,22,24,26,38,44,46,48,56.
3.2: 3, 4,5,6,7,9,11,13, 15,17,19,29,32,38.

Oct 16 - Oct 20 3.4: Derivatives of trigonometric functions
3.5: The chain rule HW 7

3.4: 2,3,5,6,7,8,9,10,18,27,28,35
3.5:2,6,7,8,12,13,14,15,16,17,18,20,21,22,23,29,30

Oct 23 - Oct 27 3.6: Implicit differentiation
3.7: Derivatives of logarithmic functions
3.8: Linear approximation and differentials HW 8
3.5: 69,71
3.6: 3,4,5,7,9,11,12,15,16,29,30,,40,43,44.
3.7:2,3,4,5,7,9,11,13,15,17,19,21,27,29,30,31,33,34,35,36.
3.8: 5,6,15,16,28a.

Oct 30 - Nov 3 4.1: Related rates
4.2: Maximum and minimum values HW 9
4.1:1,2,3,9,11,13
4.2:1,2,3,4,5,6,7,9,25,29,33,37,41

Thursday November 9, 8:30 - 10:00 pm: Second midterm exam

Nov 6 - Nov 10 4.3: Derivatives and the shapes of curves
4.5: Indeterminate forms and L'Hospital's rule
HW 10

4.3:7,9,11,13,19,23,27,29,30,31, 32,52
4.5: 1,2,5,7,9,11,13,15,17,19,21,23,25,27,29,45,47,55

Nov 13 - Nov 17 4.5: Indeterminate forms and L'Hospital's rule (cont.)
4.6: Optimization problems HW 11
4.5: 3,4,31,33,35,37,39
4.6: 10,13,19,24,31,43

Due after Thanksgiving, week of Nov27-Dec1

Nov 20 - Nov 24 4.8: Newton's Method
4.9: Antiderivatives HW 12
4.8: 4,5,9,11,26,30
4.9: 1,3,5,7,9,11,12,15,17,19,21,23,25,27,39

Thanksgiving break, no class Nov 23-Nov 26

Nov 27 - Dec 1 5.1: Areas and distances
5.2: The definite integral HW 13
5.1: 1,18,19,20
5.2: 1,17,18,21,22,25,32, 34,38,40,41,42,44,49.

Dec 4 - Dec 8 5.3: Evaluating definite integrals
5.4: The Fundamental Theorem of Calculus
5.5: The Substitution Rule HW 14
5.3: 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,41,43,53,59
5.4:3,7,9,11
5.5:1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,39,41,43,45,47,49,51,53

Dec 11 - Dec 15 5.5: The Substitution Rule (cont.)
Review HW 15
Wednesday December 13: Schedule of a Monday!

Dec 20, 11:00 am - 1:30 pm: Final exam

created by Frédéric Rochon,
last modified: November 30th, 2006

Week of	Sections covered	Homework exercises
Sep 6 - Sep 8	Introduction 1.1: Four ways to represent a function 1.2: Mathematical models Appendix C: Trigonometry 1.3: New functions from old functions	HW 1 1.1: 2,5,6,7,8,19, 24,42,54 1.2: 3,4,10 App.C: 1,4,15,30, 37
Sep 13, Wednesday, 8:30 - 10:00 pm: Early Exam
Sep 11 - Sep 15	1.5: Exponential functions 1.6: Inverse functions and logarithms 2.1: The tangent and velocity problems	HW 2 1.3: 3,4ad,6,7,11,13, 14,38, 39, 47, 63 1.5: 9,10, 15ab, 18, 19 1.6: 5,6,12, 17, 20, 26, 34ab, 37, 47ab, 52b, 53.
Sep 18 - Sep 22	2.2: The limit of a function 2.3: Calculating limits using the limit laws 2.4: Continuity	HW 3 2.1:3,5a 2.2:3,4, 6,8,9, 10, 23a 2.3: 1bcde,2abcd,4, 10, 11, 12, 15, 20,28,43
Sep 25 - Sep 29	2.5: Limits involving infinity 2.6: Tangents, velocities, and other rates of change	HW 4 2.4: 3,4,6,13,14,16,25,26, 30,32,37,48 2.5: 2,4,5,6,7,8,15,18,20, 21,24,25,27,28,46,48a 2.6: 7,8,9,13,20,24
October 2nd, Monday, No Class, Yom Kippur
Oct 2 - Oct 6	2.7: Derivatives 2.8: The derivative as a function 2.9: What does f' say about f?	HW 5 2.7: 3,5,8,13,15,17,19,20,22,35,36 2.8: 3,4,6,21,22,24,32,34
Midterm I, Wednesday, October 11 at 8:30pm
Oct 9- Oct 13	3.1: Derivatives of polynomials and exponentials 3.2: The product and quotient rules	HW 6 2.9: 1,2,4,16,20,21. 3.1: 1a,4,6,8,10,12,14,16,18,20,22,24,26,38,44,46,48,56. 3.2: 3, 4,5,6,7,9,11,13, 15,17,19,29,32,38.
Oct 16 - Oct 20	3.4: Derivatives of trigonometric functions 3.5: The chain rule	HW 7 3.4: 2,3,5,6,7,8,9,10,18,27,28,35 3.5:2,6,7,8,12,13,14,15,16,17,18,20,21,22,23,29,30
Oct 23 - Oct 27	3.6: Implicit differentiation 3.7: Derivatives of logarithmic functions 3.8: Linear approximation and differentials	HW 8 3.5: 69,71 3.6: 3,4,5,7,9,11,12,15,16,29,30,,40,43,44. 3.7:2,3,4,5,7,9,11,13,15,17,19,21,27,29,30,31,33,34,35,36. 3.8: 5,6,15,16,28a.
Oct 30 - Nov 3	4.1: Related rates 4.2: Maximum and minimum values	HW 9 4.1:1,2,3,9,11,13 4.2:1,2,3,4,5,6,7,9,25,29,33,37,41
Thursday November 9, 8:30 - 10:00 pm: Second midterm exam
Nov 6 - Nov 10	4.3: Derivatives and the shapes of curves 4.5: Indeterminate forms and L'Hospital's rule	HW 10 4.3:7,9,11,13,19,23,27,29,30,31, 32,52 4.5: 1,2,5,7,9,11,13,15,17,19,21,23,25,27,29,45,47,55
Nov 13 - Nov 17	4.5: Indeterminate forms and L'Hospital's rule (cont.) 4.6: Optimization problems	HW 11 4.5: 3,4,31,33,35,37,39 4.6: 10,13,19,24,31,43 Due after Thanksgiving, week of Nov27-Dec1
Nov 20 - Nov 24	4.8: Newton's Method 4.9: Antiderivatives	HW 12 4.8: 4,5,9,11,26,30 4.9: 1,3,5,7,9,11,12,15,17,19,21,23,25,27,39
Thanksgiving break, no class Nov 23-Nov 26
Nov 27 - Dec 1	5.1: Areas and distances 5.2: The definite integral	HW 13 5.1: 1,18,19,20 5.2: 1,17,18,21,22,25,32, 34,38,40,41,42,44,49.
Dec 4 - Dec 8	5.3: Evaluating definite integrals 5.4: The Fundamental Theorem of Calculus 5.5: The Substitution Rule	HW 14 5.3: 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,41,43,53,59 5.4:3,7,9,11 5.5:1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,39,41,43,45,47,49,51,53
Dec 11 - Dec 15	5.5: The Substitution Rule (cont.) Review	HW 15 Wednesday December 13: Schedule of a Monday!
Dec 20, 11:00 am - 1:30 pm: Final exam